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Títol:
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Weierstrass integrability of differential equations
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Autor/a:
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Giné, Jaume; Grau Montaña, Maite
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Notes:
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The integrability problem consists in finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterization of systems which admit an elementary or Liouvillian first integral. We define {\it Weierstrass integrability} and we determine which Weierstrass integrable systems are Liouvillian integrable. Inside this new class of integrable systems there are non--Liouvillian integrable systems. |
Matèries:
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-Nonlinear differential equations -Integrability problem -Equacions diferencials no lineals |
Drets:
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(c) Elsevier, 2010
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Tipus de document:
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article submittedVersion |
Publicat per:
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Elsevier
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